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Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays

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Abstract

This paper deals with the finite-time guaranteed cost control problem for positive system with multiple time delays and bounded disturbance. By using Lyapunov-Krasovskii functional method, some new sufficient conditions for the design of a state feedback controller which makes the closedloop system finite-time stable and guarantees an adequate cost level of performance are derived. Two numerical examples are also given to show the effectiveness of the proposed method.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Thainguyen University of Science, Thainguyen, Vietnam

    Mai Viet Thuan

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  1. Mai Viet Thuan
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Correspondence to Mai Viet Thuan.

Additional information

This work was partially supported by the Ministry of Education and Training of Vietnam under Grant No. B2017-TNA-54.

This paper was recommended for publication by Editor SUN Jian.

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Cite this article

Thuan, M.V. Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays. J Syst Sci Complex 32, 496–509 (2019). https://doi.org/10.1007/s11424-018-7064-5

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  • DOI: https://doi.org/10.1007/s11424-018-7064-5

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